4 papers
McKean-Vlasov Differential Equations: An introduction and a focus on some kinetic models
Stefano Pagliarani
These notes were prepared for a series of lectures delivered at the 43rd Finnish Summer School on Probability and Statistics, held in Lammi, Finland, from May 26 to 30, 2025. They…
On Heat kernel Estimtes for Brownian SDEs with Distributional Drift
Stéphane Menozzi, Stefano Pagliarani
We establish heat-kernel bounds and regularity estimates for the transition densities of the diffusion associated with the martingale problem corresponding to the generator of a fo…
Degenerate McKean-Vlasov equations with drift in anisotropic negative Besov spaces
Elena Issoglio, Stefano Pagliarani, Francesco Russo +1
The paper is concerned with a McKean-Vlasov type SDE with drift in anisotropic Besov spaces with negative regularity and with degenerate diffusion matrix under the weak H{ö}rmander…
Intrinsic Hölder spaces for fractional kinetic operators
Maria Manfredini, Stefano Pagliarani, Sergio Polidoro
We introduce anisotropic Hölder spaces useful for the study of the regularity theory for non local kinetic operators whose prototypal example is \begin{equation} \mat…